Khan Academy
Khan Academy: Ap Physics 1 Review of 2 D Motion and Vectors
A review video of 2D motions and vector topics that were focused on during AP Physics I. Each topic includes a review of concepts as well as example problems. [13:00]
Khan Academy
Khan Academy: Vector Addition
This video [2:02] focuses on every force in our particle system to be represented with a vector.
Khan Academy
Khan Academy: 3 D Vector Fields, Introduction
Vector fields can also be three-dimensional, though this can be a bit trickier to visualize.
Khan Academy
Khan Academy: 3 D Curl Intuition, Part 2
Continuing the intuition for how three-dimensional curl represents rotation in three-dimensional fluid flow.
Khan Academy
Khan Academy: 3 D Curl Formula, Part 2
This finishes the demonstration of how to compute three-dimensional curl using a certain determinant.
Khan Academy
Khan Academy: 3 D Curl Formula, Part 1
How to compute a three-dimensional curl, imagined as a cross product of sorts.
Khan Academy
Khan Academy: 3 D Curl Computation Example
A worked example of a three-dimensional curl computation.
Khan Academy
Khan Academy: 2 D Curl Nuance
The meaning of positive curl in a fluid flow can sometimes look a bit different from the clear cut rotation-around-a-point examples discussed in previous videos.
Khan Academy
Khan Academy: 2 D Curl Intuition
A description of how vector fields relate to fluid rotation, laying the intuition for what the operation of curl represents.
Khan Academy
Khan Academy: 2 D Curl Formula
Here we build up to the formula for computing the two-dimensional curl of a vector field, reasoning through what partial derivative information corresponds to fluid rotation.
Khan Academy
Khan Academy: 2 D Curl Example
A worked example of computing and interpreting two-dimensional curl.
Khan Academy
Khan Academy: 3 D Divergence Theorem Intuition
Intuition behind the Divergence Theorem in three dimensions.
Khan Academy
Khan Academy: Adding Vectors Algebraically & Graphically
To add vectors, we add the corresponding components from each vector. See this concrete example. There's also a nice graphical way to add vectors, and the two ways will always result in the same vector.
Khan Academy
Khan Academy: 3 D Curl Intuition, Part 1
Here we start transitioning from the understanding of two-dimensional curl into an understanding of three-dimensional curl.
Khan Academy
Khan Academy: Calculating Average Velocity or Speed
Although speed and velocity are often words used interchangeably, in physics, they are distinct concepts. Watch as Sal Khan solves a word problem while explaining this distinction. [11:45]
Khan Academy
Khan Academy: Visualizing Vectors in 2 Dimensions
Visualizing, adding and breaking down vectors in 2 dimensions. [12:54]
Khan Academy
Khan Academy: Unit Vectors and Engineering Notation
Using unit vectors to represent the components of a vector. [7:58]
Khan Academy
Khan Academy: Radius Comparison From Velocity and Angular Velocity: Example
Watch as Sal Khan predicts which spinning disc has a larger radius from angular velocity and the linear velocity of a point on the edge. [3:58]
Khan Academy
Khan Academy: Identifying Force Vectors for Pendulum: Worked Example
A worked example finding all force vectors acting on a pendulum moving in a horizontal circle. [2:58]
Khan Academy
Khan Academy: The Dot Product
This video is an introduction to the vector dot product. [10:32]
Sophia Learning
Sophia: Dot Product of 3 Vectors: Lesson 2
This lesson introduces the dot product of 3-vectors. It is 2 of 6 in the series titled "Dot Product of 3-Vectors."
Sophia Learning
Sophia: Dot Product of 3 Vectors: Lesson 3
This lesson introduces the dot product of 3-vectors. It is 3 of 6 in the series titled "Dot Product of 3-Vectors."
Sophia Learning
Sophia: Equivalent Vectors: Lesson 2
This lesson goes over how to recognize equivalent vectors. It is 2 of 6 in the series titled "Equivalent Vectors."
Sophia Learning
Sophia: Equivalent Vectors: Lesson 3
This lesson goes over how to recognize equivalent vectors. It is 3 of 6 in the series titled "Equivalent Vectors."